In Exercises 29-34 the mean and standard deviation of a nor- mal variable X are given. Find the indicated probability. 30. X is the standard normal variable Z; P(X ≤ -1.5). 32. μ = 100, σ = 16; P(80 ≤ x ≤ 120)

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A: Given in the question: Dave fails quizzes with  probability =1/4

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A: From the provided information, A fair sided coin is tossed. Total outcomes = 2 (Heads, Tails)

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A: a) Person K invites total 15 (= n) relatives.

Q: GradRate_2016 0.917 0.872 0.724 0.706 0.675 0.865 0.764 0.743 0.501 0.939 0.832 0.82 0.789 0.645…

A: Solution: From the given information,

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A: Given X1=226 n1=397 X2=129 n2=269

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A: Please find the solution for question (b) as asked by you.

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A: Here Single fair four sided die is rolled

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A:

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A: Given two dice thrown simultaneously

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A:

Q: Could you write this part for a better understanding? Thank you.

A: the expected value is computed as follows

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A:

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A: Basic concepts of probability are used.

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A: Given Dave fails quizzes with probability 1/3, independent of other quizzes.

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A:

Q: The joint density of X and Y is given by xe-(x+y) f(x, y) = (0 x>0, y > 0 otherwise

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A: 7 students line up for photo   P(event) = no. of favorable outcomestotal outcomes

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Q: Rework problem 3 from section 4.1 of your text involving the computation of probabilities for…

A: Given,n=5 and q=0.45p=1-0.45=0.55A random variable X~Binomial(n=5 , p=0.55)P(X=x)=Cx(0.55)x(0.45)5-x…

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A:

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A: Basic concepts of probability are used.

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A:

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A: The regression line is y^=3.17+52.35s.

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Q: how to calculate.  P(X= 8) = 10C8*(0.70)8*(1-0.70)10-8 what is 10C8? where does the number come…

A: From the original problem, we have  p = 70% = 0.70 n = 10

Q: Given a normal distribution with n = 26, μ = 30 and o = 6 Find a. The value of x that has 80% of the…

A: Givensample size(n)=26Mean(μ)=30standard deviation(σ)=6

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A: Given Alpha=2 Beta=1

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Q: month

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A: Given: { 8,12,16,18}__ {e, 8,11,12,15} = {8,12} The blank space value is ? A: ⋂ B: ∪

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A: event A : sick ebvent A' : not sickevent B : test positiveevent B' : test negativeP(A) = 0.34…

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A: Given that  Sample size = n = 25, Sample standard deviation = s = 0.015

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